Question

What is the radius of a sphere whose volume and surface area are numerically equal

Answer 1

Volume = 4/3 pi r^3

Surface area = 4 pi r^2

Given, both are equal

Thus,

$4 \div 3 \: \pi {r}^{3} = 4\pi {r}^{2}$

4/3 r^3 = 4 r^2

r^3 / r^2 = 4 / (4/3)

r^(3-2) = 4 x 3/4

r^1 = 3

Thus,

r = 3 cm

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